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Finding the Fourth Proportional to 8,486.32, 11,708.40 and 6,911.68

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Solution

The fourth proportional to 8,486.32, 11,708.40 and 6,911.68 is: 9,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.32 : 11,708.40 = 6,911.68 : x
  2. Step 2: Convert to fraction form
    8,486.32/11,708.40 = 6,911.68/x
  3. Step 3: Cross multiply
    8,486.32x = 11,708.40 × 6,911.68
  4. Step 4: Simplify right side
    8,486.32x = 80,924,714.11
  5. Step 5: Solve for x
    x = 80,924,714.11/8,486.32
  6. Step 6: Final answer
    x = 9,535.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.